2,478,476

2² × 7 × 11 × 13 × 619

Starting at 2,478,476, the Collatz iteration reaches 1 after 205 steps. The first transition is 1239238; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 13 × 619

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 5,832,960

Proper Divisor Sum 3,354,484

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #2478473 ← → #2478479

Radix Representation

Decimal	2478476
Binary	1001011101000110001100 (22 bits)
Octal	0o11350614
Hexadecimal	0x25D18C

Divisor Catalog (48)

1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 619 1,001 1,238 2,002 2,476 4,004 4,333 6,809 8,047 8,666 13,618 16,094 17,332 27,236 32,188 47,663 56,329 88,517 95,326 112,658 177,034 190,652 225,316 354,068 619,619 1,239,238 2,478,476

Collatz Trajectory (205 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,478,476 1,239,238 619,619 1,858,858 929,429 2,788,288 1,394,144 697,072 348,536 174,268 87,134 43,567 130,702 65,351 196,054 98,027 294,082 147,041 441,124 220,562 110,281 330,844 165,422 82,711 248,134 124,067 372,202 186,101 558,304 279,152 139,576 69,788 34,894 17,447 52,342 26,171 78,514 39,257 117,772 58,886 29,443 88,330 44,165 132,496 66,248 33,124 16,562 8,281 24,844 12,422 6,211 18,634 9,317 27,952 13,976 6,988 3,494 1,747 5,242 2,621

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